Home
Class 12
MATHS
Two adjacent sides of a parallelogram...

Two adjacent sides of a parallelogram `A B C D` are given by ` vec A B=2 hat i+10 hat j+11 hat ka n d vec A D=- hat i+2 hat j+2 hat kdot` The side `A D` is rotated by an acute angle `alpha` in the plane of the parallelogram so that `A D` becomes `A D^(prime)dot` If `A D '` makes a right angle with the side `A B ,` then the cosine of the angel `alpha` is given by `8/9` b. `(sqrt(17))/9` c. `1/9` d. `(4sqrt(5))/9`

Promotional Banner

Similar Questions

Explore conceptually related problems

Find the area of a parallelogram whose adjacent sides are given by the vectors vec a=3hat i+hat j+4hat k and vec b=hat i-hat j+hat k

Angle between diagonals of a parallelogram whose side are represented by vec a=2hat i+hat j+hat k and vec b=hat i-hat j-hat k

If vec a=3 hat i- hat j+2 hat k\ a n d\ vec b=2 hat i+ hat j- hat k\ t h e n find ( vec axx vec b) vec adot

Determine the area of the parallelogram whose adjacent sides are formed by the vectors vec A = hat i -3 hat j + hat k and vec B = hat i + hat j + hat k .

If in parallelogram ABCD, diagonal vectors are vec A C=2 hat i+3 hat j+4 hat k and vec B D=-6 hat i+7 hat j-2 hat k , then find the adjacent side vectors vec A B and vec A D

The adjacent sides of a parallelogram are represented by the vectors vec a=hat i+hat j-hat k and vec b=-2hat i+hat j+2hat k Find unit vectors parallel to the diagonals of the parallelogram.

Find the area of the parallelogram whose adjacent sides are determined by the vectors vec a=hat i-hat j+3hat k and vec b=2hat i-7hat j+hat k

The diagonals if a parallele-gram are representde by vec d_(1) =2 hat I + 3 hat j -5 hat k and vec d_(2) =6 hat I + 5 hat j -3 hat k . Find the area of the parallelogram.

The adjacent sides of a parallelogram is represented by vectors 2hat(i)+3 hat(j) and hat(i) +4 hat(j) . The area of the parallelogram is :

Find the area of the parallelogram whose adjacent sides are determined by the vectors vec a=hat i-hat j+3hat k and vec b=2hat i-hat 7hat j+hat k